What is the Greatest Common Factor of 33912 and 33930?

Greatest common factor (GCF) of 33912 and 33930 is 18.

GCF(33912,33930) = 18

We will now calculate the prime factors of 33912 and 33930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33912 and 33930.

How to find the GCF of 33912 and 33930?

We will first find the prime factorization of 33912 and 33930. After we will calculate the factors of 33912 and 33930 and find the biggest common factor number .

Step-1: Prime Factorization of 33912

Prime factors of 33912 are 2, 3, 157. Prime factorization of 33912 in exponential form is:

33912 = 2³ × 3³ × 157¹

Step-2: Prime Factorization of 33930

Prime factors of 33930 are 2, 3, 5, 13, 29. Prime factorization of 33930 in exponential form is:

33930 = 2¹ × 3² × 5¹ × 13¹ × 29¹

Step-3: Factors of 33912

List of positive integer factors of 33912 that divides 33912 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 157, 216, 314, 471, 628, 942, 1256, 1413, 1884, 2826, 3768, 4239, 5652, 8478, 11304, 16956

Step-4: Factors of 33930

List of positive integer factors of 33930 that divides 33912 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 29, 30, 39, 45, 58, 65, 78, 87, 90, 117, 130, 145, 174, 195, 234, 261, 290, 377, 390, 435, 522, 585, 754, 870, 1131, 1170, 1305, 1885, 2262, 2610, 3393, 3770, 5655, 6786, 11310, 16965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33912 and 33930. The biggest common factor number is the GCF number.
So the greatest common factor 33912 and 33930 is 18.

Also check out the Least Common Multiple of 33912 and 33930